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Finding the Fourth Proportional to 14,603.76, 20,152.98 and 8,316

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Solution

The fourth proportional to 14,603.76, 20,152.98 and 8,316 is: 11,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.76 : 20,152.98 = 8,316 : x
  2. Step 2: Convert to fraction form
    14,603.76/20,152.98 = 8,316/x
  3. Step 3: Cross multiply
    14,603.76x = 20,152.98 × 8,316
  4. Step 4: Simplify right side
    14,603.76x = 167,592,181.68
  5. Step 5: Solve for x
    x = 167,592,181.68/14,603.76
  6. Step 6: Final answer
    x = 11,475.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.